Average Error: 0.2 → 0.2
Time: 3.7s
Precision: 64
\[\frac{a}{-\cos^{-1} a}\]
↓
\[\frac{a}{-\cos^{-1} a}\]
\frac{a}{-\cos^{-1} a}
↓
\frac{a}{-\cos^{-1} a}
double f(double a) {
        double r89371 = a;
        double r89372 = acos(r89371);
        double r89373 = -r89372;
        double r89374 = r89371 / r89373;
        return r89374;
}
↓
double f(double a) {
        double r89375 = a;
        double r89376 = acos(r89375);
        double r89377 = -r89376;
        double r89378 = r89375 / r89377;
        return r89378;
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{a}{-\cos^{-1} a}\]

  2. Final simplification0.2

    \[\leadsto \frac{a}{-\cos^{-1} a}\]

Reproduce

herbie shell --seed 2020062 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 001"
  :precision binary64
  (/ a (- (acos a))))